Two-point resistances in a family of self-similar (x, y)-flower networks

被引：8
|
作者：
Shangguan, Yingmin [1 ]
Chen, Haiyan [1 ]
机构：
[1] Jimei Univ, Sch Sci, Xiamen 361021, Fujian, Peoples R China
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2019年 / 523卷
基金：
中国国家自然科学基金;
关键词：
Two-point resistance; Self-similar network; (x; y)-flowers; DISTANCES;
D O I：
10.1016/j.physa.2019.02.008
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The computation of resistance between two nodes in networks is a fundamental problem in both electric theory and graph theory. In this paper, first, a recursive algorithm for computing resistance between any two nodes in a family of self-similar (x, y)-flower networks is given. The (x, y)-flower networks display rich behavior as observed in a large variety of real systems. Then as explanations, using the algorithm, explicit expressions for some resistances in (1, 3)-flower networks and (2, 2)-flower networks are obtained. (C) 2019 Published by Elsevier B.V.
引用
收藏
页码：382 / 391
页数：10
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